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QuAcK/src/eDFT/RS51_lda_exchange_individual_energy.f90

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2020-03-17 11:29:29 +01:00
subroutine RS51_lda_exchange_individual_energy(nGrid,weight,rhow,rho,Ex)
! Compute the restricted version of Slater's LDA exchange individual energy
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid)
double precision,intent(in) :: rho(nGrid)
! Local variables
integer :: iG
double precision :: Cx
double precision :: r,rI
double precision :: e,dedr
! Output variables
double precision,intent(out) :: Ex
! Cx coefficient for Slater LDA exchange
Cx = -(3d0/4d0)*(3d0/pi)**(1d0/3d0)
! Compute LDA exchange matrix in the AO basis
Ex = 0d0
do iG=1,nGrid
r = max(0d0,rhow(iG))
rI = max(0d0,rho(iG))
if(r > threshold .and. rI > threshold) then
e = Cx*r**(1d0/3d0)
dedr = 1d0/3d0*Cx*r**(-2d0/3d0)
Ex = Ex + weight(iG)*(e*rI + dedr*r*rI - dedr*r*r)
endif
enddo
end subroutine RS51_lda_exchange_individual_energy